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Finding the Fourth Proportional to 359.57, 496.22 and 202.26

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Solution

The fourth proportional to 359.57, 496.22 and 202.26 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.57 : 496.22 = 202.26 : x
  2. Step 2: Convert to fraction form
    359.57/496.22 = 202.26/x
  3. Step 3: Cross multiply
    359.57x = 496.22 × 202.26
  4. Step 4: Simplify right side
    359.57x = 100,364.45
  5. Step 5: Solve for x
    x = 100,364.45/359.57
  6. Step 6: Final answer
    x = 279.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.